Non-probabilistic Reliability Optimization of Linear Structural System Based on Interval Model

In this paper, the non-probabilistic reliability optimization problem of linear structural system with uncertain parameters described by interval models is proposed. The degree of the uncertainty is described by the size of the hypercube, and the maximum degree of variability the structure allows is measured by the non-probabilistic reliability index. The relation between the target of non-probabilistic reliability index and the fluctuation range of uncertain parameters is described by the geometric meaning of the reliability index. For the linear function, the uncertain parameters are expressed as the expression of the target value of non-probabilistic reliability index. Numerical example shows the validity and efficiency of the proposed method.